2981135584 has 192 divisors, whose sum is σ = 7310241792. Its totient is φ = 1169510400.

The previous prime is 2981135581. The next prime is 2981135611. The reversal of 2981135584 is 4855311892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981135581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10533907 + ... + 10534189.

It is an arithmetic number, because the mean of its divisors is an integer number (38074176).

Almost surely, 2^2981135584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981135584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655120896).

2981135584 is an abundant number, since it is smaller than the sum of its proper divisors (4329106208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2981135584 is a wasteful number, since it uses less digits than its factorization.

2981135584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 345600, while the sum is 46.

The square root of 2981135584 is about 54599.7764097986. The cubic root of 2981135584 is about 1439.2201899219.

The spelling of 2981135584 in words is "two billion, nine hundred eighty-one million, one hundred thirty-five thousand, five hundred eighty-four".